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Finding the Fourth Proportional to 1,562.39, 2,343.38 and 466.86

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Solution

The fourth proportional to 1,562.39, 2,343.38 and 466.86 is: 700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.39 : 2,343.38 = 466.86 : x
  2. Step 2: Convert to fraction form
    1,562.39/2,343.38 = 466.86/x
  3. Step 3: Cross multiply
    1,562.39x = 2,343.38 × 466.86
  4. Step 4: Simplify right side
    1,562.39x = 1,094,039.47
  5. Step 5: Solve for x
    x = 1,094,039.47/1,562.39
  6. Step 6: Final answer
    x = 700.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.